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# pls haaaaalp

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If $$5^x=100$$, what is the value of $$5^{x+2}$$?

May 13, 2022

#1
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Note that $$5^{x+2} = 5^x \times 5^2$$

We know that $$5^x = 100$$, so $$5^{x+2} = 100 \times 5^2 = \text{____}$$

May 13, 2022

#1
+2437
0

Note that $$5^{x+2} = 5^x \times 5^2$$

We know that $$5^x = 100$$, so $$5^{x+2} = 100 \times 5^2 = \text{____}$$

BuilderBoi May 13, 2022
#2
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$$If\ 5^x=100,wath\ is\ the\ value\ of\ 5^{x+2}\ ?$$

Hello Guest!

$$5^x=100\\ x\cdot lg\ 5=2$$

$$x=\frac{2}{lg\ 5}\\ 5^{\frac{2}{lg\ 5}+2}=\color{blue}2500$$

!

May 13, 2022